Finding the Fourth Proportional to 1,477.74, 2,039.27 and 814.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.74 : 2,039.27 = 814.57 : x
2. Step 2: Convert to fraction form
   1,477.74/2,039.27 = 814.57/x
3. Step 3: Cross multiply
   1,477.74x = 2,039.27 × 814.57
4. Step 4: Simplify right side
   1,477.74x = 1,661,128.16
5. Step 5: Solve for x
   x = 1,661,128.16/1,477.74
6. Step 6: Final answer
   x = 1,124.10